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Finding the Fourth Proportional to 426.08, 588.12 and 295.10

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Solution

The fourth proportional to 426.08, 588.12 and 295.10 is: 407.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.08 : 588.12 = 295.10 : x
  2. Step 2: Convert to fraction form
    426.08/588.12 = 295.10/x
  3. Step 3: Cross multiply
    426.08x = 588.12 × 295.10
  4. Step 4: Simplify right side
    426.08x = 173,554.21
  5. Step 5: Solve for x
    x = 173,554.21/426.08
  6. Step 6: Final answer
    x = 407.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.